Kavli Affiliate: Yukinobu Toda
| First 5 Authors: Yalong Cao, Georg Oberdieck, Yukinobu Toda, ,
| Summary:
As an analogy to Gopakumar-Vafa conjecture on Calabi-Yau 3-folds,
Klemm-Pandharipande defined Gopakumar-Vafa type invariants of a Calabi-Yau
4-fold $X$ using Gromov-Witten theory. When $X$ is holomorphic symplectic,
Gromov-Witten invariants vanish and one can consider the corresponding reduced
theory. In a companion work, we propose a definition of Gopakumar-Vafa type
invariants for such a reduced theory. In this paper, we give them a sheaf
theoretic interpretation via moduli spaces of stable pairs.
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